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Finding the Fourth Proportional to 334.75, 499.84 and 265.49

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Solution

The fourth proportional to 334.75, 499.84 and 265.49 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 499.84 = 265.49 : x
  2. Step 2: Convert to fraction form
    334.75/499.84 = 265.49/x
  3. Step 3: Cross multiply
    334.75x = 499.84 × 265.49
  4. Step 4: Simplify right side
    334.75x = 132,702.52
  5. Step 5: Solve for x
    x = 132,702.52/334.75
  6. Step 6: Final answer
    x = 396.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.